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Finding the Fourth Proportional to 402,041.15, 554,845.14 and 265,838.43

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Solution

The fourth proportional to 402,041.15, 554,845.14 and 265,838.43 is: 366,875.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,041.15 : 554,845.14 = 265,838.43 : x
  2. Step 2: Convert to fraction form
    402,041.15/554,845.14 = 265,838.43/x
  3. Step 3: Cross multiply
    402,041.15x = 554,845.14 × 265,838.43
  4. Step 4: Simplify right side
    402,041.15x = 147,499,160,910.73
  5. Step 5: Solve for x
    x = 147,499,160,910.73/402,041.15
  6. Step 6: Final answer
    x = 366,875.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.